10496876808240 has 320 divisors, whose sum is σ = 36689856698880. Its totient is φ = 2758010618880.

The previous prime is 10496876808199. The next prime is 10496876808263. The reversal of 10496876808240 is 4280867869401.

10496876808240 is a `hidden beast` number, since 1 + 0 + 496 + 8 + 7 + 68 + 0 + 82 + 4 + 0 = 666.

It is a super-2 number, since 2×10496876808240² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66792955 + ... + 66949925.

It is an arithmetic number, because the mean of its divisors is an integer number (114655802184).

Almost surely, 2^{10496876808240} is an apocalyptic number.

10496876808240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10496876808240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18344928349440).

10496876808240 is an abundant number, since it is smaller than the sum of its proper divisors (26192979890640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10496876808240 is a wasteful number, since it uses less digits than its factorization.

10496876808240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157449 (or 157437 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 10496876808240 in words is "ten trillion, four hundred ninety-six billion, eight hundred seventy-six million, eight hundred eight thousand, two hundred forty".